(14-2x)^2/3=4

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Solution for (14-2x)^2/3=4 equation: 


x in (-oo:+oo)

((14-(2*x))^2)/3 = 4 // - 4

((14-(2*x))^2)/3-4 = 0

((14-2*x)^2)/3-4 = 0

((14-2*x)^2)/3+(-4*3)/3 = 0

(14-2*x)^2-4*3 = 0

4*x^2-56*x+184 = 0

4*x^2-56*x+184 = 0

4*(x^2-14*x+46) = 0

x^2-14*x+46 = 0

DELTA = (-14)^2-(1*4*46)

DELTA = 12

DELTA > 0

x = (12^(1/2)+14)/(1*2) or x = (14-12^(1/2))/(1*2)

x = (2*3^(1/2)+14)/2 or x = (14-2*3^(1/2))/2

4*(x-((14-2*3^(1/2))/2))*(x-((2*3^(1/2)+14)/2)) = 0

(4*(x-((14-2*3^(1/2))/2))*(x-((2*3^(1/2)+14)/2)))/3 = 0

(4*(x-((14-2*3^(1/2))/2))*(x-((2*3^(1/2)+14)/2)))/3 = 0 // * 3

4*(x-((14-2*3^(1/2))/2))*(x-((2*3^(1/2)+14)/2)) = 0

( 4 )

4 = 0

x belongs to the empty set

( x-((14-2*3^(1/2))/2) )

x-((14-2*3^(1/2))/2) = 0 // + (14-2*3^(1/2))/2

x = (14-2*3^(1/2))/2

( x-((2*3^(1/2)+14)/2) )

x-((2*3^(1/2)+14)/2) = 0 // + (2*3^(1/2)+14)/2

x = (2*3^(1/2)+14)/2

x in { (14-2*3^(1/2))/2, (2*3^(1/2)+14)/2 }

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